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Finding the Fourth Proportional to 10,572.99, 15,858.21 and 2,782.41

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Solution

The fourth proportional to 10,572.99, 15,858.21 and 2,782.41 is: 4,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.99 : 15,858.21 = 2,782.41 : x
  2. Step 2: Convert to fraction form
    10,572.99/15,858.21 = 2,782.41/x
  3. Step 3: Cross multiply
    10,572.99x = 15,858.21 × 2,782.41
  4. Step 4: Simplify right side
    10,572.99x = 44,124,042.09
  5. Step 5: Solve for x
    x = 44,124,042.09/10,572.99
  6. Step 6: Final answer
    x = 4,173.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.